Atkin-Lehner |
2+ 5+ 11- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
127600i |
Isogeny class |
Conductor |
127600 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
860160 |
Modular degree for the optimal curve |
Δ |
9619594531250000 = 24 · 511 · 114 · 292 |
Discriminant |
Eigenvalues |
2+ 2 5+ -4 11- -2 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-55283,-1643938] |
[a1,a2,a3,a4,a6] |
j |
74742284314624/38478378125 |
j-invariant |
L |
1.3166301146682 |
L(r)(E,1)/r! |
Ω |
0.32915782465899 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
63800b1 25520e1 |
Quadratic twists by: -4 5 |